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moongazer
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If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions.
Could someone check my answers?
 2 years ago
 2 years ago
moongazer Group Title
If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions. Could someone check my answers?
 2 years ago
 2 years ago

This Question is Closed

moongazer Group TitleBest ResponseYou've already chosen the best response.1
am I right that theta is in quadrant 3 ?
 2 years ago

Silent_Sorrow Group TitleBest ResponseYou've already chosen the best response.0
Yup, so Sin (theta) < 0 as well
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Could you show your answers so that I can check my answers?
 2 years ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
No.. you should give your answers so that we can check.. Go ahead..
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
\[\sin \theta =(5\sqrt{41})/41\] \[\cos \theta = (4\sqrt{41})/41\] \[\tan \theta = 5/4\] \[\csc \theta = \sqrt{41}/5\] \[\sec \theta =\sqrt{41}/4\] \[\cot \theta = 4/5\]
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Am I correct?
 2 years ago

Silent_Sorrow Group TitleBest ResponseYou've already chosen the best response.0
dw:1341743660142:dw Just remember "All Science Teachers Crazy" so in the first quad all trig functions are positive, in the 2nd all Sine functions are positive, in the 3rd all Tangent functions are positive so in the 4th all Cosine functions are positive.
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Are all my answers correct?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Could someone check it?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
@mathslover Are my answers correct?
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
when cos theta is negative then theta lies in 2nd quadrant ..
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
@mathslover why?
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
please wait
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
ok thanks :)
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Remember this :Quadrant 1: Cosine is positive and Sine is positive. (x > 0 ; y > 0) just as ( cos(theta) > 0 ; sin(theta) > 0) Quadrant 2: Cosine is negative and Sine is positive. (x < 0; y > 0) just as ( cos(theta) < 0 ; sin(theta) > 0) Quadrant 3: Cosine is negative and Sine is negative. (x < 0 ; y < 0) just as ( cos(theta) < 0 ; sin(theta)< 0) Quadrant 4: Cosine is positive and Sine is negative. ( x > 0 ; y < 0 ) just as ( cos(theta) > 0 ; sin(theta) < 0)
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
@moongazer
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
I am here
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
So did u get that quadrant 2 : cos theta is negative ?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
i'm still reading it :)
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Take ur time
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
But in quadrant 3 cos theta is also negative so why I can't choose it as the location of theta?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
isn't it that tan theta is positive in quadrant 3 and according to the given tan theta is positive. So choosing that theta is in quadrant 3 is better?
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
oh yes u r also right but i am not perfect in this topic may be @lalaly do it for u
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
@lalaly My answers are correct right?
 2 years ago

lalaly Group TitleBest ResponseYou've already chosen the best response.1
u can describe this as a right triangle \[\tan (\theta)=\frac{opposite}{adjacent}=\frac{5}{4}\]so from this u know that opposite=5 and adjacent =4 dw:1341746704835:dw
 2 years ago

lalaly Group TitleBest ResponseYou've already chosen the best response.1
now use those values to find the ratios for the other trig functions
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
But isn't it I can also view asdw:1341747710304:dw
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
Are my answers right or wrong?
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.1
@moongazer you are correct :D
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
@ash2326 Thanks for that!
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.1
you wanna see, the pic I made to check this?
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
ok, let me see it :)
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.1
That is also what I am thinking :)
 2 years ago
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